JEE Exam > JEE Questions > For the curve x = t2–1, y = t2–t,...
Start Learning for Free
For the curve x = t2 – 1, y = t2 – t, the tangent line is perpendicular to x-axis where
- a)t = 0
- b)t = ∞
- c)t =
- d)t = –
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
For the curve x = t2–1, y = t2–t, the tangent line is perp...
Given curve is x = t2 − 1,y = t2 − t
Derivating w.r.to t we get
d x/ dt =2t -------(1)
and dy / dt = 2t − 1 -------(2)
dividing (2) by (1) we get
dy / dx = (2t − 1) / 2t
Therefore, the slope of the tangent is (2t − 1) / 2t
Given that the tangent is perpendicular to x-axis. Therefore, tangent is parallel to y-axis.
We know that slope of y-axis is infinity and the slopes of the two parallel lines are equal.
Therefore, slope of the tangent is infinity.
Hence, (2t − 1) / 2t = 1/0
⟹ 2t = 0
⟹ t = 0
Derivating w.r.to t we get
d x/ dt =2t -------(1)
and dy / dt = 2t − 1 -------(2)
dividing (2) by (1) we get
dy / dx = (2t − 1) / 2t
Therefore, the slope of the tangent is (2t − 1) / 2t
Given that the tangent is perpendicular to x-axis. Therefore, tangent is parallel to y-axis.
We know that slope of y-axis is infinity and the slopes of the two parallel lines are equal.
Therefore, slope of the tangent is infinity.
Hence, (2t − 1) / 2t = 1/0
⟹ 2t = 0
⟹ t = 0
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer?
Question Description
For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer?.
For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer?.
Solutions for For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer?, a detailed solution for For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For the curve x = t2–1, y = t2–t, the tangent line is perpendicular to x-axis wherea)t = 0b)t = ∞c)t =d)t = –Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup